LMFDB - L-function search results

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Lowest zero	Conductor	Analytic conductor	Central character	Analytic rank

Degree	Bad $p$	Root analytic conductor	Motivic weight	Spectral label

Root angle	Primitive	Origin	Exclude origin	Self-dual

Arithmetic

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Results (1-50 of 1498 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-6008-6008.1003-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.1003	$0$	✓	✓	$-0.466$	$0$	$0.284074$	Character $\chi_{6008}(1003, \cdot)$
1-6008-6008.1005-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.1005	$0$	✓	✓	$-0.0815$	$0$	$0.405923$	Character $\chi_{6008}(1005, \cdot)$
1-6008-6008.1013-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.1013	$0$	✓	✓	$0.0870$	$0$	$0.802689$	Character $\chi_{6008}(1013, \cdot)$
1-6008-6008.1019-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.1019	$0$	✓	✓	$0.183$	$0$	$0.801750$	Character $\chi_{6008}(1019, \cdot)$
1-6008-6008.1027-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.1027	$0$	✓	✓	$-0.348$	$0$	$0.369262$	Character $\chi_{6008}(1027, \cdot)$
1-6008-6008.1029-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.1029	$0$	✓	✓	$0.234$	$0$	$1.32697$	Character $\chi_{6008}(1029, \cdot)$
1-6008-6008.1043-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.1043	$0$	✓	✓	$0.274$	$0$	$1.25595$	Character $\chi_{6008}(1043, \cdot)$
1-6008-6008.1051-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.1051	$0$	✓	✓	$-0.311$	$0$	$1.50170$	Character $\chi_{6008}(1051, \cdot)$
1-6008-6008.1053-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.1053	$0$	✓	✓	$-0.190$	$0$	$0.124258$	Character $\chi_{6008}(1053, \cdot)$
1-6008-6008.1067-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.1067	$0$	✓	✓	$-0.299$	$0$	$0.0764576$	Character $\chi_{6008}(1067, \cdot)$
1-6008-6008.1077-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.1077	$0$	✓	✓	$-0.445$	$0$	$0.168624$	Character $\chi_{6008}(1077, \cdot)$
1-6008-6008.1083-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.1083	$0$	✓	✓	$0.0297$	$0$	$0.630736$	Character $\chi_{6008}(1083, \cdot)$
1-6008-6008.1085-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.1085	$0$	✓	✓	$-0.213$	$0$	$0.403539$	Character $\chi_{6008}(1085, \cdot)$
1-6008-6008.109-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.109	$0$	✓	✓	$-0.187$	$0$	$0.791261$	Character $\chi_{6008}(109, \cdot)$
1-6008-6008.1091-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.1091	$0$	✓	✓	$0.313$	$0$	$1.08674$	Character $\chi_{6008}(1091, \cdot)$
1-6008-6008.1093-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.1093	$0$	✓	✓	$0.452$	$0$	$0.813973$	Character $\chi_{6008}(1093, \cdot)$
1-6008-6008.11-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.11	$0$	✓	✓	$-0.193$	$0$	$0.526932$	Character $\chi_{6008}(11, \cdot)$
1-6008-6008.1109-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.1109	$0$	✓	✓	$0.271$	$0$	$0.469456$	Character $\chi_{6008}(1109, \cdot)$
1-6008-6008.1115-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.1115	$0$	✓	✓	$-0.168$	$0$	$0.355653$	Character $\chi_{6008}(1115, \cdot)$
1-6008-6008.1125-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.1125	$0$	✓	✓	$-0.0192$	$0$	$0.135417$	Character $\chi_{6008}(1125, \cdot)$
1-6008-6008.1133-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.1133	$0$	✓	✓	$0.343$	$0$	$0.0462889$	Character $\chi_{6008}(1133, \cdot)$
1-6008-6008.1147-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.1147	$0$	✓	✓	$0.318$	$0$	$1.08824$	Character $\chi_{6008}(1147, \cdot)$
1-6008-6008.1149-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.1149	$0$	✓	✓	$-0.131$	$0$	$0.329613$	Character $\chi_{6008}(1149, \cdot)$
1-6008-6008.1155-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.1155	$0$	✓	✓	$-0.459$	$0$	$0.241062$	Character $\chi_{6008}(1155, \cdot)$
1-6008-6008.1157-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.1157	$0$	✓	✓	$-0.159$	$0$	$1.08598$	Character $\chi_{6008}(1157, \cdot)$
1-6008-6008.1163-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.1163	$0$	✓	✓	$0.496$	$0$	$1.02586$	Character $\chi_{6008}(1163, \cdot)$
1-6008-6008.1165-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.1165	$0$	✓	✓	$0.463$	$0$	$0.414278$	Character $\chi_{6008}(1165, \cdot)$
1-6008-6008.117-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.117	$0$	✓	✓	$-0.247$	$0$	$0.407382$	Character $\chi_{6008}(117, \cdot)$
1-6008-6008.1173-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.1173	$0$	✓	✓	$-0.289$	$0$	$1.52309$	Character $\chi_{6008}(1173, \cdot)$
1-6008-6008.1181-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.1181	$0$	✓	✓	$-0.0691$	$0$	$0.600161$	Character $\chi_{6008}(1181, \cdot)$
1-6008-6008.1189-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.1189	$0$	✓	✓	$0.00746$	$0$	$1.06134$	Character $\chi_{6008}(1189, \cdot)$
1-6008-6008.1195-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.1195	$0$	✓	✓	$-0.258$	$0$	$0.563359$	Character $\chi_{6008}(1195, \cdot)$
1-6008-6008.1203-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.1203	$0$	✓	✓	$-0.255$	$0$	$0.790895$	Character $\chi_{6008}(1203, \cdot)$
1-6008-6008.1221-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.1221	$0$	✓	✓	$0.190$	$0$	$0.868059$	Character $\chi_{6008}(1221, \cdot)$
1-6008-6008.1245-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.1245	$0$	✓	✓	$-0.175$	$0$	$0.358453$	Character $\chi_{6008}(1245, \cdot)$
1-6008-6008.125-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.125	$0$	✓	✓	$-0.422$	$0$	$0.996243$	Character $\chi_{6008}(125, \cdot)$
1-6008-6008.1261-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.1261	$0$	✓	✓	$0.157$	$0$	$0.745236$	Character $\chi_{6008}(1261, \cdot)$
1-6008-6008.1267-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.1267	$0$	✓	✓	$-0.0232$	$0$	$0.534602$	Character $\chi_{6008}(1267, \cdot)$
1-6008-6008.1283-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.1283	$0$	✓	✓	$0.220$	$0$	$0.577090$	Character $\chi_{6008}(1283, \cdot)$
1-6008-6008.1291-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.1291	$0$	✓	✓	$0.394$	$0$	$1.32782$	Character $\chi_{6008}(1291, \cdot)$
1-6008-6008.1293-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.1293	$0$	✓	✓	$0.276$	$0$	$0.847805$	Character $\chi_{6008}(1293, \cdot)$
1-6008-6008.1299-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.1299	$0$	✓	✓	$0.0151$	$0$	$0.619665$	Character $\chi_{6008}(1299, \cdot)$
1-6008-6008.13-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.13	$0$	✓	✓	$0.00976$	$0$	$0.755938$	Character $\chi_{6008}(13, \cdot)$
1-6008-6008.1315-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.1315	$0$	✓	✓	$-0.121$	$0$	$0.844586$	Character $\chi_{6008}(1315, \cdot)$
1-6008-6008.1323-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.1323	$0$	✓	✓	$0.479$	$0$	$1.64417$	Character $\chi_{6008}(1323, \cdot)$
1-6008-6008.1325-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.1325	$0$	✓	✓	$-0.209$	$0$	$0.716770$	Character $\chi_{6008}(1325, \cdot)$
1-6008-6008.1331-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.1331	$0$	✓	✓	$-0.248$	$0$	$0.408060$	Character $\chi_{6008}(1331, \cdot)$
1-6008-6008.1339-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.1339	$0$	✓	✓	$0.217$	$0$	$0.181905$	Character $\chi_{6008}(1339, \cdot)$
1-6008-6008.1341-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.1341	$0$	✓	✓	$-0.0259$	$0$	$0.450222$	Character $\chi_{6008}(1341, \cdot)$
1-6008-6008.1349-r0-0-0	$27.9$	$27.9$	$1$	$2^{3} \cdot 751$	6008.1349	$0$	✓	✓	$0.497$	$0$	$0.300030$	Character $\chi_{6008}(1349, \cdot)$

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Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.